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Finding the Third Proportional to 117,380 and 176,633

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Solution

The third proportional to 117,380 and 176,633 is: 265,796.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,380 : 176,633 = 176,633 : x
  2. Step 2: Convert to fraction form
    117,380/176,633 = 176,633/x
  3. Step 3: Cross multiply
    117,380x = 176,633 × 176,633
  4. Step 4: Simplify right side
    117,380x = 31,199,216,689
  5. Step 5: Solve for x
    x = 31,199,216,689/117,380
  6. Step 6: Final answer
    x = 265,796.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.